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Finding the Fourth Proportional to 27,574.47, 38,051.38 and 15,638.92

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Solution

The fourth proportional to 27,574.47, 38,051.38 and 15,638.92 is: 21,580.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,574.47 : 38,051.38 = 15,638.92 : x
  2. Step 2: Convert to fraction form
    27,574.47/38,051.38 = 15,638.92/x
  3. Step 3: Cross multiply
    27,574.47x = 38,051.38 × 15,638.92
  4. Step 4: Simplify right side
    27,574.47x = 595,082,487.71
  5. Step 5: Solve for x
    x = 595,082,487.71/27,574.47
  6. Step 6: Final answer
    x = 21,580.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.